A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
arXiv:2306.01230 · doi:10.1103/PhysRevA.108.063315
Abstract
A generalized effective spin-chain model is developed for studies of strongly interacting spinor gases in a one-dimensional (1D) optical lattice. The spinor gas is mapped to a system of spinless fermions and a spin-chain. A generalized effective spin-chain Hamiltonian that acts on the mapped system is developed to study the static and dynamic properties of the spinor gas. This provides a computationally efficient alternative tool to study strongly interacting spinor gases in 1D lattice systems. This formalism permits the study of spinor gases with arbitrary spin and statistics, providing a generalized approach for 1D strongly interacting gases. By virtue of its simplicity, it provides an easier tool to study and gain deeper insights into the system. In combination with the model defined previously for continuum systems, a unified framework is developed. Studying the mapped system using this formalism recreates the physics of spinor gas in 1D lattice. Additionally, the time evolution of a quenched system is studied. The generalized effective spin-chain formalism has potential applications in the study of a multitude of interesting phenomena arising in lattice systems such as high- superconductivity and the spin-coherent \& spin-incoherent Luttinger liquid regimes.
16 pages, 8 figures; More concise Introduction, Section on Time evolution now includes harmonic trap in line with conventional open-boundary analyses, Updated figures, Typos corrected
References in corpus (36)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Nonlinear atom interferometer surpasses classical precision limit
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- A one-dimensional liquid of fermions with tunable spin
- Non-standard Hubbard models in optical lattices: a review
- Spin-charge separation and localization in one-dimension
- Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
- Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Quantum phase transition in a single-molecule quantum dot
- Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
- Probing spin-charge separation in a Tomonaga-Luttinger liquid
- Deterministic entanglement generation from driving through quantum phase transitions
- Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas
- Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
- Spin-charge separation in cold Fermi-gases: a real time analysis
- Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
- Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
- Spontaneous spin textures in dipolar spinor condensates
- Phase diagram of spin-1 bosons on one-dimensional lattices
- Orbital-selective Mott transitions: Heavy fermions and beyond
- Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
- Strongly Interacting Quantum Gases in One-Dimensional Traps
- A Mott Insulator of Ultracold Alkaline-Earth-Like Atoms
- Quantum Many-Body Dynamics of Coupled Double-Well Superlattices
- Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets
- Adiabatic loading of one-dimensional SU(N) alkaline earth fermions in optical lattices
- Observation of a strongly ferromagnetic spinor Bose-Einstein condensate
- Quantum phases of a one-dimensional Majorana-Bose-Hubbard model